TSTP Solution File: GRP584-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP584-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 00:26:31 EDT 2023

% Result   : Unsatisfiable 1.52s 1.74s
% Output   : Proof 1.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP584-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon Aug 28 22:15:17 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.oJnr84b0Lz/cvc5---1.0.5_5151.p...
% 0.21/0.52  ------- get file name : TPTP file name is GRP584-1
% 0.21/0.52  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_5151.smt2...
% 0.21/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.52/1.74  % SZS status Unsatisfiable for GRP584-1
% 1.52/1.74  % SZS output start Proof for GRP584-1
% 1.62/1.80  (
% 1.62/1.80  (let ((_let_1 (tptp.multiply tptp.b tptp.a))) (let ((_let_2 (tptp.multiply tptp.a tptp.b))) (let ((_let_3 (= _let_2 _let_1))) (let ((_let_4 (not _let_3))) (let ((_let_5 (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide tptp.identity B) (tptp.double_divide C (tptp.double_divide B A)))) (tptp.double_divide tptp.identity tptp.identity)) C)))) (let ((_let_9 (tptp.double_divide tptp.b tptp.a))) (let ((_let_10 (tptp.double_divide _let_9 tptp.identity))) (let ((_let_11 (= _let_2 _let_10))) (let ((_let_12 (tptp.double_divide tptp.a tptp.b))) (let ((_let_13 (tptp.double_divide _let_12 tptp.identity))) (let ((_let_14 (= _let_1 _let_13))) (let ((_let_15 (tptp.inverse _let_9))) (let ((_let_16 (= _let_10 _let_15))) (let ((_let_17 (tptp.inverse _let_12))) (let ((_let_18 (= _let_13 _let_17))) (let ((_let_19 (tptp.inverse _let_13))) (let ((_let_20 (tptp.double_divide _let_13 tptp.identity))) (let ((_let_21 (= _let_20 _let_19))) (let ((_let_22 (= tptp.identity (tptp.double_divide _let_9 _let_15)))) (let ((_let_23 (tptp.double_divide _let_12 _let_17))) (let ((_let_24 (= tptp.identity _let_23))) (let ((_let_25 (tptp.double_divide tptp.identity tptp.identity))) (let ((_let_26 (tptp.double_divide _let_9 _let_23))) (let ((_let_27 (tptp.double_divide tptp.identity _let_12))) (let ((_let_28 (tptp.double_divide _let_17 (tptp.double_divide _let_27 _let_26)))) (let ((_let_29 (tptp.double_divide _let_28 _let_25))) (let ((_let_30 (= _let_9 _let_29))) (let ((_let_31 (tptp.double_divide _let_17 (tptp.double_divide _let_27 (tptp.double_divide _let_12 _let_23))))) (let ((_let_32 (tptp.double_divide _let_31 _let_25))) (let ((_let_33 (= _let_12 _let_32))) (let ((_let_34 (tptp.double_divide _let_10 _let_23))) (let ((_let_35 (tptp.double_divide _let_27 _let_34))) (let ((_let_36 (tptp.double_divide _let_17 _let_35))) (let ((_let_37 (tptp.double_divide _let_36 _let_25))) (let ((_let_38 (= _let_10 _let_37))) (let ((_let_39 (tptp.double_divide _let_13 _let_23))) (let ((_let_40 (tptp.double_divide _let_27 _let_39))) (let ((_let_41 (tptp.double_divide _let_17 _let_40))) (let ((_let_42 (tptp.double_divide _let_41 _let_25))) (let ((_let_43 (= _let_13 _let_42))) (let ((_let_44 (tptp.double_divide _let_10 tptp.identity))) (let ((_let_45 (tptp.double_divide _let_44 _let_23))) (let ((_let_46 (tptp.double_divide _let_27 _let_45))) (let ((_let_47 (tptp.double_divide _let_17 _let_46))) (let ((_let_48 (tptp.double_divide _let_47 _let_25))) (let ((_let_49 (= _let_44 _let_48))) (let ((_let_50 (tptp.double_divide _let_20 _let_23))) (let ((_let_51 (tptp.double_divide _let_27 _let_50))) (let ((_let_52 (tptp.double_divide _let_17 _let_51))) (let ((_let_53 (tptp.double_divide _let_52 _let_25))) (let ((_let_54 (= _let_20 _let_53))) (let ((_let_55 (tptp.double_divide _let_9 _let_10))) (let ((_let_56 (tptp.double_divide tptp.identity _let_9))) (let ((_let_57 (tptp.double_divide _let_56 _let_55))) (let ((_let_58 (tptp.double_divide tptp.identity _let_57))) (let ((_let_59 (tptp.double_divide _let_58 _let_25))) (let ((_let_60 (= _let_9 _let_59))) (let ((_let_61 (tptp.double_divide _let_12 _let_13))) (let ((_let_62 (tptp.double_divide _let_27 _let_61))) (let ((_let_63 (tptp.double_divide tptp.identity _let_62))) (let ((_let_64 (tptp.double_divide _let_63 _let_25))) (let ((_let_65 (= _let_12 _let_64))) (let ((_let_66 (tptp.inverse _let_20))) (let ((_let_67 (tptp.double_divide _let_20 tptp.identity))) (let ((_let_68 (= _let_67 _let_66))) (let ((_let_69 (tptp.double_divide _let_13 _let_19))) (let ((_let_70 (= tptp.identity _let_69))) (let ((_let_71 (tptp.double_divide tptp.identity _let_13))) (let ((_let_72 (= _let_13 (tptp.double_divide (tptp.double_divide _let_19 (tptp.double_divide _let_71 (tptp.double_divide _let_13 _let_69))) _let_25)))) (let ((_let_73 (tptp.double_divide _let_19 (tptp.double_divide _let_71 (tptp.double_divide _let_44 _let_69))))) (let ((_let_74 (tptp.double_divide _let_73 _let_25))) (let ((_let_75 (= _let_44 _let_74))) (let ((_let_76 (tptp.double_divide _let_19 (tptp.double_divide _let_71 (tptp.double_divide _let_20 _let_69))))) (let ((_let_77 (tptp.double_divide _let_76 _let_25))) (let ((_let_78 (= _let_20 _let_77))) (let ((_let_79 (tptp.double_divide _let_9 _let_37))) (let ((_let_80 (tptp.double_divide tptp.identity _let_36))) (let ((_let_81 (tptp.double_divide _let_25 (tptp.double_divide _let_80 _let_79)))) (let ((_let_82 (tptp.double_divide _let_81 _let_25))) (let ((_let_83 (= _let_9 _let_82))) (let ((_let_84 (tptp.double_divide _let_12 _let_42))) (let ((_let_85 (tptp.double_divide tptp.identity _let_41))) (let ((_let_86 (tptp.double_divide _let_25 (tptp.double_divide _let_85 _let_84)))) (let ((_let_87 (tptp.double_divide _let_86 _let_25))) (let ((_let_88 (= _let_12 _let_87))) (let ((_let_89 (tptp.double_divide tptp.identity _let_69))) (let ((_let_90 (tptp.double_divide _let_19 (tptp.double_divide _let_71 _let_89)))) (let ((_let_91 (tptp.double_divide _let_90 _let_25))) (let ((_let_92 (= tptp.identity _let_91))) (let ((_let_93 (tptp.double_divide tptp.identity tptp.a))) (let ((_let_94 (tptp.double_divide _let_93 _let_27))) (let ((_let_95 (tptp.double_divide tptp.b _let_94))) (let ((_let_96 (tptp.double_divide _let_95 _let_25))) (let ((_let_97 (= tptp.identity _let_96))) (let ((_let_98 (tptp.double_divide _let_25 (tptp.double_divide _let_80 (tptp.double_divide _let_27 _let_37))))) (let ((_let_99 (tptp.double_divide _let_98 _let_25))) (let ((_let_100 (= _let_27 _let_99))) (let ((_let_101 (tptp.double_divide tptp.identity (tptp.double_divide _let_25 _let_29)))) (let ((_let_102 (tptp.double_divide _let_101 _let_25))) (let ((_let_103 (= _let_28 _let_102))) (let ((_let_104 (tptp.double_divide _let_25 (tptp.double_divide _let_85 (tptp.double_divide _let_27 _let_42))))) (let ((_let_105 (tptp.double_divide _let_104 _let_25))) (let ((_let_106 (= _let_27 _let_105))) (let ((_let_107 (tptp.double_divide _let_25 _let_32))) (let ((_let_108 (tptp.double_divide tptp.identity _let_107))) (let ((_let_109 (tptp.double_divide _let_108 _let_25))) (let ((_let_110 (= _let_31 _let_109))) (let ((_let_111 (tptp.double_divide tptp.identity _let_27))) (let ((_let_112 (tptp.double_divide _let_39 (tptp.double_divide _let_111 _let_41)))) (let ((_let_113 (tptp.double_divide _let_112 _let_25))) (let ((_let_114 (= _let_17 _let_113))) (let ((_let_115 (tptp.double_divide tptp.identity (tptp.double_divide _let_25 _let_42)))) (let ((_let_116 (tptp.double_divide _let_115 _let_25))) (let ((_let_117 (= _let_41 _let_116))) (let ((_let_118 (tptp.double_divide _let_44 tptp.identity))) (let ((_let_119 (tptp.double_divide tptp.identity _let_44))) (let ((_let_120 (tptp.double_divide tptp.identity (tptp.double_divide _let_119 (tptp.double_divide _let_27 _let_118))))) (let ((_let_121 (tptp.double_divide _let_120 _let_25))) (let ((_let_122 (= _let_27 _let_121))) (let ((_let_123 (tptp.double_divide _let_25 _let_48))) (let ((_let_124 (tptp.double_divide tptp.identity _let_123))) (let ((_let_125 (= _let_47 (tptp.double_divide _let_124 _let_25)))) (let ((_let_126 (tptp.double_divide _let_25 _let_53))) (let ((_let_127 (tptp.double_divide tptp.identity _let_126))) (let ((_let_128 (tptp.double_divide _let_127 _let_25))) (let ((_let_129 (= _let_52 _let_128))) (let ((_let_130 (tptp.double_divide _let_71 (tptp.double_divide _let_56 _let_69)))) (let ((_let_131 (tptp.double_divide _let_19 _let_130))) (let ((_let_132 (tptp.double_divide _let_131 _let_25))) (let ((_let_133 (= _let_56 _let_132))) (let ((_let_134 (tptp.double_divide tptp.identity _let_56))) (let ((_let_135 (tptp.double_divide _let_134 _let_58))) (let ((_let_136 (tptp.double_divide _let_55 _let_135))) (let ((_let_137 (tptp.double_divide _let_136 _let_25))) (let ((_let_138 (= tptp.identity _let_137))) (let ((_let_139 (= _let_58 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_25 _let_59)) _let_25)))) (let ((_let_140 (tptp.double_divide _let_61 (tptp.double_divide _let_111 _let_63)))) (let ((_let_141 (tptp.double_divide _let_140 _let_25))) (let ((_let_142 (= tptp.identity _let_141))) (let ((_let_143 (= _let_63 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_25 _let_64)) _let_25)))) (let ((_let_144 (tptp.double_divide _let_19 (tptp.double_divide _let_71 (tptp.double_divide _let_118 _let_69))))) (let ((_let_145 (tptp.double_divide _let_144 _let_25))) (let ((_let_146 (= _let_118 _let_145))) (let ((_let_147 (tptp.double_divide _let_71 (tptp.double_divide _let_67 _let_69)))) (let ((_let_148 (tptp.double_divide _let_19 _let_147))) (let ((_let_149 (tptp.double_divide _let_148 _let_25))) (let ((_let_150 (= _let_67 _let_149))) (let ((_let_151 (tptp.double_divide tptp.identity _let_52))) (let ((_let_152 (tptp.double_divide _let_151 (tptp.double_divide _let_13 _let_53)))) (let ((_let_153 (tptp.double_divide _let_25 _let_152))) (let ((_let_154 (tptp.double_divide _let_153 _let_25))) (let ((_let_155 (= _let_13 _let_154))) (let ((_let_156 (= (tptp.multiply _let_61 _let_27) (tptp.double_divide _let_62 tptp.identity)))) (let ((_let_157 (= (tptp.multiply _let_25 _let_41) (tptp.double_divide _let_42 tptp.identity)))) (let ((_let_158 (tptp.inverse tptp.identity))) (let ((_let_159 (= _let_25 _let_158))) (let ((_let_160 (tptp.double_divide _let_118 tptp.identity))) (let ((_let_161 (= _let_160 (tptp.inverse _let_118)))) (let ((_let_162 (tptp.inverse _let_56))) (let ((_let_163 (= (tptp.double_divide _let_56 tptp.identity) _let_162))) (let ((_let_164 (tptp.double_divide _let_20 _let_66))) (let ((_let_165 (= tptp.identity _let_164))) (let ((_let_166 (tptp.double_divide tptp.identity _let_20))) (let ((_let_167 (tptp.double_divide _let_66 (tptp.double_divide _let_166 (tptp.double_divide _let_9 _let_164))))) (let ((_let_168 (tptp.double_divide _let_167 _let_25))) (let ((_let_169 (= _let_9 _let_168))) (let ((_let_170 (tptp.double_divide _let_66 (tptp.double_divide _let_166 (tptp.double_divide _let_12 _let_164))))) (let ((_let_171 (= _let_12 (tptp.double_divide _let_170 _let_25)))) (let ((_let_172 (tptp.double_divide _let_66 (tptp.double_divide _let_166 (tptp.double_divide _let_13 _let_164))))) (let ((_let_173 (= _let_13 (tptp.double_divide _let_172 _let_25)))) (let ((_let_174 (tptp.double_divide _let_66 (tptp.double_divide _let_166 (tptp.double_divide _let_44 _let_164))))) (let ((_let_175 (= _let_44 (tptp.double_divide _let_174 _let_25)))) (let ((_let_176 (tptp.double_divide _let_66 (tptp.double_divide _let_166 (tptp.double_divide _let_20 _let_164))))) (let ((_let_177 (= _let_20 (tptp.double_divide _let_176 _let_25)))) (let ((_let_178 (tptp.double_divide tptp.identity _let_164))) (let ((_let_179 (tptp.double_divide _let_66 (tptp.double_divide _let_166 _let_178)))) (let ((_let_180 (= tptp.identity (tptp.double_divide _let_179 _let_25)))) (let ((_let_181 (tptp.double_divide tptp.identity _let_86))) (let ((_let_182 (tptp.double_divide _let_25 (tptp.double_divide _let_181 (tptp.double_divide tptp.identity _let_87))))) (let ((_let_183 (= tptp.identity (tptp.double_divide _let_182 _let_25)))) (let ((_let_184 (tptp.double_divide tptp.identity _let_144))) (let ((_let_185 (tptp.double_divide _let_25 (tptp.double_divide _let_184 (tptp.double_divide _let_27 _let_145))))) (let ((_let_186 (= _let_27 (tptp.double_divide _let_185 _let_25)))) (let ((_let_187 (tptp.double_divide tptp.identity _let_82))) (let ((_let_188 (tptp.double_divide tptp.identity _let_81))) (let ((_let_189 (tptp.double_divide _let_25 (tptp.double_divide _let_188 _let_187)))) (let ((_let_190 (= tptp.identity (tptp.double_divide _let_189 _let_25)))) (let ((_let_191 (tptp.double_divide _let_66 (tptp.double_divide _let_166 (tptp.double_divide _let_56 _let_164))))) (let ((_let_192 (tptp.double_divide _let_191 _let_25))) (let ((_let_193 (= _let_56 _let_192))) (let ((_let_194 (tptp.double_divide _let_66 (tptp.double_divide _let_166 (tptp.double_divide _let_27 _let_164))))) (let ((_let_195 (tptp.double_divide _let_194 _let_25))) (let ((_let_196 (= _let_27 _let_195))) (let ((_let_197 (tptp.double_divide tptp.identity _let_47))) (let ((_let_198 (tptp.double_divide _let_25 (tptp.double_divide _let_197 (tptp.double_divide _let_10 _let_48))))) (let ((_let_199 (tptp.double_divide _let_25 (tptp.double_divide (tptp.double_divide tptp.identity _let_198) (tptp.double_divide _let_71 (tptp.double_divide _let_198 _let_25)))))) (let ((_let_200 (= _let_71 (tptp.double_divide _let_199 _let_25)))) (let ((_let_201 (tptp.double_divide _let_25 (tptp.double_divide (tptp.double_divide tptp.identity _let_153) (tptp.double_divide _let_71 _let_154))))) (let ((_let_202 (= _let_71 (tptp.double_divide _let_201 _let_25)))) (let ((_let_203 (tptp.double_divide _let_25 _let_74))) (let ((_let_204 (= _let_73 (tptp.double_divide (tptp.double_divide tptp.identity _let_203) _let_25)))) (let ((_let_205 (tptp.double_divide _let_71 _let_149))) (let ((_let_206 (tptp.double_divide tptp.identity _let_148))) (let ((_let_207 (tptp.double_divide _let_25 (tptp.double_divide _let_206 _let_205)))) (let ((_let_208 (= _let_71 (tptp.double_divide _let_207 _let_25)))) (let ((_let_209 (= _let_76 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_25 _let_77)) _let_25)))) (let ((_let_210 (tptp.double_divide _let_79 (tptp.double_divide (tptp.double_divide tptp.identity _let_80) _let_81)))) (let ((_let_211 (tptp.double_divide _let_210 _let_25))) (let ((_let_212 (= _let_25 _let_211))) (let ((_let_213 (= _let_81 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_25 _let_82)) _let_25)))) (let ((_let_214 (tptp.double_divide tptp.identity _let_17))) (let ((_let_215 (tptp.double_divide _let_40 (tptp.double_divide _let_214 _let_85)))) (let ((_let_216 (= tptp.identity (tptp.double_divide _let_215 _let_25)))) (let ((_let_217 (tptp.double_divide _let_84 (tptp.double_divide (tptp.double_divide tptp.identity _let_85) _let_86)))) (let ((_let_218 (= _let_25 (tptp.double_divide _let_217 _let_25)))) (let ((_let_219 (= _let_86 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_25 _let_87)) _let_25)))) (let ((_let_220 (tptp.double_divide tptp.identity _let_71))) (let ((_let_221 (tptp.double_divide _let_89 (tptp.double_divide _let_220 _let_90)))) (let ((_let_222 (= _let_19 (tptp.double_divide _let_221 _let_25)))) (let ((_let_223 (tptp.double_divide tptp.identity (tptp.double_divide _let_25 _let_91)))) (let ((_let_224 (tptp.double_divide _let_223 _let_25))) (let ((_let_225 (= _let_90 _let_224))) (let ((_let_226 (tptp.double_divide _let_25 _let_94))) (let ((_let_227 (tptp.double_divide _let_12 _let_226))) (let ((_let_228 (= _let_93 (tptp.double_divide _let_227 _let_25)))) (let ((_let_229 (tptp.double_divide tptp.identity _let_93))) (let ((_let_230 (tptp.double_divide _let_27 (tptp.double_divide _let_229 _let_95)))) (let ((_let_231 (tptp.double_divide _let_230 _let_25))) (let ((_let_232 (= tptp.b _let_231))) (let ((_let_233 (= _let_95 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_25 _let_96)) _let_25)))) (let ((_let_234 (tptp.double_divide _let_25 _let_99))) (let ((_let_235 (tptp.double_divide tptp.identity _let_234))) (let ((_let_236 (tptp.double_divide _let_235 _let_25))) (let ((_let_237 (= _let_98 _let_236))) (let ((_let_238 (tptp.double_divide _let_12 (tptp.double_divide _let_25 _let_111)))) (let ((_let_239 (= tptp.identity (tptp.double_divide _let_238 _let_25)))) (let ((_let_240 (tptp.double_divide tptp.identity _let_101))) (let ((_let_241 (tptp.double_divide _let_25 (tptp.double_divide _let_240 (tptp.double_divide _let_111 _let_102))))) (let ((_let_242 (tptp.double_divide _let_241 _let_25))) (let ((_let_243 (= _let_111 _let_242))) (let ((_let_244 (tptp.double_divide _let_25 _let_9))) (let ((_let_245 (tptp.double_divide tptp.identity tptp.b))) (let ((_let_246 (tptp.double_divide tptp.a (tptp.double_divide _let_245 _let_244)))) (let ((_let_247 (= _let_25 (tptp.double_divide _let_246 _let_25)))) (let ((_let_248 (tptp.double_divide tptp.identity _let_25))) (let ((_let_249 (tptp.double_divide _let_29 (tptp.double_divide _let_248 _let_101)))) (let ((_let_250 (= tptp.identity (tptp.double_divide _let_249 _let_25)))) (let ((_let_251 (tptp.double_divide tptp.identity (tptp.double_divide _let_25 _let_102)))) (let ((_let_252 (= _let_101 (tptp.double_divide _let_251 _let_25)))) (let ((_let_253 (= _let_104 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_25 _let_105)) _let_25)))) (let ((_let_254 (tptp.double_divide tptp.identity _let_108))) (let ((_let_255 (tptp.double_divide _let_25 (tptp.double_divide _let_254 (tptp.double_divide _let_111 _let_109))))) (let ((_let_256 (= _let_111 (tptp.double_divide _let_255 _let_25)))) (let ((_let_257 (tptp.double_divide _let_25 _let_12))) (let ((_let_258 (tptp.double_divide tptp.b (tptp.double_divide _let_93 _let_257)))) (let ((_let_259 (= _let_25 (tptp.double_divide _let_258 _let_25)))) (let ((_let_260 (tptp.double_divide tptp.identity (tptp.double_divide _let_25 _let_109)))) (let ((_let_261 (= _let_108 (tptp.double_divide _let_260 _let_25)))) (let ((_let_262 (tptp.double_divide _let_34 (tptp.double_divide _let_111 (tptp.double_divide _let_197 _let_35))))) (let ((_let_263 (= _let_197 (tptp.double_divide _let_262 _let_25)))) (let ((_let_264 (= _let_112 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_25 _let_113)) _let_25)))) (let ((_let_265 (= _let_115 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_25 _let_116)) _let_25)))) (let ((_let_266 (tptp.double_divide tptp.identity _let_74))) (let ((_let_267 (tptp.double_divide tptp.identity _let_73))) (let ((_let_268 (tptp.double_divide _let_25 (tptp.double_divide _let_267 _let_266)))) (let ((_let_269 (= tptp.identity (tptp.double_divide _let_268 _let_25)))) (let ((_let_270 (tptp.double_divide _let_45 (tptp.double_divide _let_111 (tptp.double_divide _let_119 _let_46))))) (let ((_let_271 (= _let_119 (tptp.double_divide _let_270 _let_25)))) (let ((_let_272 (= _let_120 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_25 _let_121)) _let_25)))) (let ((_let_273 (tptp.double_divide tptp.identity _let_111))) (let ((_let_274 (= _let_45 (tptp.double_divide (tptp.double_divide _let_47 (tptp.double_divide _let_273 (tptp.double_divide _let_45 (tptp.double_divide _let_111 _let_47)))) _let_25)))) (let ((_let_275 (tptp.double_divide _let_267 _let_203))) (let ((_let_276 (tptp.double_divide _let_25 _let_275))) (let ((_let_277 (= _let_25 (tptp.double_divide _let_276 _let_25)))) (let ((_let_278 (tptp.double_divide _let_50 (tptp.double_divide _let_111 (tptp.double_divide _let_166 _let_51))))) (let ((_let_279 (= _let_166 (tptp.double_divide _let_278 _let_25)))) (let ((_let_280 (tptp.double_divide _let_245 _let_56))) (let ((_let_281 (tptp.double_divide tptp.identity _let_245))) (let ((_let_282 (tptp.double_divide _let_56 (tptp.double_divide _let_281 (tptp.double_divide tptp.a _let_280))))) (let ((_let_283 (tptp.double_divide _let_282 _let_25))) (let ((_let_284 (= tptp.a _let_283))) (let ((_let_285 (tptp.double_divide _let_25 _let_132))) (let ((_let_286 (tptp.double_divide tptp.identity _let_285))) (let ((_let_287 (= _let_131 (tptp.double_divide _let_286 _let_25)))) (let ((_let_288 (tptp.double_divide _let_25 _let_134))) (let ((_let_289 (tptp.double_divide _let_9 _let_288))) (let ((_let_290 (= tptp.identity (tptp.double_divide _let_289 _let_25)))) (let ((_let_291 (tptp.double_divide _let_25 (tptp.double_divide _let_240 (tptp.double_divide _let_134 _let_102))))) (let ((_let_292 (= _let_134 (tptp.double_divide _let_291 _let_25)))) (let ((_let_293 (tptp.double_divide tptp.identity _let_134))) (let ((_let_294 (tptp.double_divide _let_58 (tptp.double_divide _let_293 _let_136)))) (let ((_let_295 (= _let_55 (tptp.double_divide _let_294 _let_25)))) (let ((_let_296 (= _let_136 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_25 _let_137)) _let_25)))) (let ((_let_297 (= _let_140 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_25 _let_141)) _let_25)))) (let ((_let_298 (tptp.double_divide _let_25 _let_145))) (let ((_let_299 (tptp.double_divide tptp.identity _let_298))) (let ((_let_300 (= _let_144 (tptp.double_divide _let_299 _let_25)))) (let ((_let_301 (tptp.double_divide _let_67 tptp.identity))) (let ((_let_302 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity _let_67) (tptp.double_divide _let_71 _let_301))))) (let ((_let_303 (= _let_71 (tptp.double_divide _let_302 _let_25)))) (let ((_let_304 (tptp.double_divide _let_66 (tptp.double_divide _let_166 (tptp.double_divide _let_197 _let_164))))) (let ((_let_305 (= _let_197 (tptp.double_divide _let_304 _let_25)))) (let ((_let_306 (= _let_153 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_25 _let_154)) _let_25)))) (let ((_let_307 (tptp.double_divide _let_66 (tptp.double_divide _let_166 (tptp.double_divide _let_25 _let_164))))) (let ((_let_308 (tptp.double_divide _let_307 _let_25))) (let ((_let_309 (= _let_25 _let_308))) (let ((_let_310 (tptp.double_divide _let_66 (tptp.double_divide _let_166 (tptp.double_divide _let_58 _let_164))))) (let ((_let_311 (= _let_58 (tptp.double_divide _let_310 _let_25)))) (let ((_let_312 (tptp.double_divide _let_66 (tptp.double_divide _let_166 (tptp.double_divide _let_63 _let_164))))) (let ((_let_313 (= _let_63 (tptp.double_divide _let_312 _let_25)))) (let ((_let_314 (tptp.double_divide _let_66 (tptp.double_divide _let_166 (tptp.double_divide _let_41 _let_164))))) (let ((_let_315 (tptp.double_divide _let_314 _let_25))) (let ((_let_316 (= _let_41 _let_315))) (let ((_let_317 (tptp.double_divide _let_66 (tptp.double_divide _let_166 (tptp.double_divide _let_52 _let_164))))) (let ((_let_318 (= _let_52 (tptp.double_divide _let_317 _let_25)))) (let ((_let_319 (tptp.double_divide _let_25 (tptp.double_divide _let_184 (tptp.double_divide _let_44 _let_145))))) (let ((_let_320 (= _let_44 (tptp.double_divide _let_319 _let_25)))) (let ((_let_321 (tptp.double_divide _let_20 _let_149))) (let ((_let_322 (tptp.double_divide _let_25 (tptp.double_divide _let_206 _let_321)))) (let ((_let_323 (= _let_20 (tptp.double_divide _let_322 _let_25)))) (let ((_let_324 (tptp.double_divide _let_151 tptp.identity))) (let ((_let_325 (= (tptp.multiply _let_52 tptp.identity) _let_324))) (let ((_let_326 (tptp.double_divide _let_124 tptp.identity))) (let ((_let_327 (= (tptp.multiply _let_123 tptp.identity) _let_326))) (let ((_let_328 (tptp.double_divide _let_127 tptp.identity))) (let ((_let_329 (= (tptp.multiply _let_126 tptp.identity) _let_328))) (let ((_let_330 (tptp.double_divide _let_41 tptp.identity))) (let ((_let_331 (= (tptp.multiply tptp.identity _let_41) (tptp.double_divide _let_330 tptp.identity)))) (let ((_let_332 (= (tptp.multiply _let_152 _let_25) (tptp.double_divide _let_153 tptp.identity)))) (let ((_let_333 (= (tptp.multiply _let_25 _let_90) (tptp.double_divide _let_91 tptp.identity)))) (let ((_let_334 (= (tptp.double_divide _let_36 tptp.identity) (tptp.inverse _let_36)))) (let ((_let_335 (tptp.inverse _let_41))) (let ((_let_336 (= _let_330 _let_335))) (let ((_let_337 (tptp.inverse _let_25))) (let ((_let_338 (tptp.double_divide _let_25 tptp.identity))) (let ((_let_339 (= _let_338 _let_337))) (let ((_let_340 (= (tptp.double_divide _let_63 tptp.identity) (tptp.inverse _let_63)))) (let ((_let_341 (tptp.inverse _let_151))) (let ((_let_342 (= _let_324 _let_341))) (let ((_let_343 (= tptp.identity (tptp.double_divide tptp.identity _let_158)))) (let ((_let_344 (tptp.double_divide _let_56 _let_162))) (let ((_let_345 (= tptp.identity _let_344))) (let ((_let_346 (tptp.double_divide tptp.identity _let_282))) (let ((_let_347 (tptp.double_divide _let_25 (tptp.double_divide _let_346 (tptp.double_divide tptp.b _let_283))))) (let ((_let_348 (= tptp.b (tptp.double_divide _let_347 _let_25)))) (let ((_let_349 (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_9 _let_344))))) (let ((_let_350 (= _let_9 (tptp.double_divide _let_349 _let_25)))) (let ((_let_351 (tptp.double_divide _let_25 (tptp.double_divide (tptp.double_divide tptp.identity _let_230) (tptp.double_divide tptp.a _let_231))))) (let ((_let_352 (= tptp.a (tptp.double_divide _let_351 _let_25)))) (let ((_let_353 (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_12 _let_344))))) (let ((_let_354 (= _let_12 (tptp.double_divide _let_353 _let_25)))) (let ((_let_355 (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_10 _let_344))))) (let ((_let_356 (= _let_10 (tptp.double_divide _let_355 _let_25)))) (let ((_let_357 (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_13 _let_344))))) (let ((_let_358 (= _let_13 (tptp.double_divide _let_357 _let_25)))) (let ((_let_359 (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_44 _let_344))))) (let ((_let_360 (= _let_44 (tptp.double_divide _let_359 _let_25)))) (let ((_let_361 (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_20 _let_344))))) (let ((_let_362 (= _let_20 (tptp.double_divide _let_361 _let_25)))) (let ((_let_363 (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide tptp.identity _let_344))))) (let ((_let_364 (= tptp.identity (tptp.double_divide _let_363 _let_25)))) (let ((_let_365 (tptp.double_divide tptp.identity _let_307))) (let ((_let_366 (= _let_28 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_28 _let_308))) _let_25)))) (let ((_let_367 (= _let_31 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_31 _let_308))) _let_25)))) (let ((_let_368 (= _let_41 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_41 _let_308))) _let_25)))) (let ((_let_369 (= _let_47 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_47 _let_308))) _let_25)))) (let ((_let_370 (= _let_52 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_52 _let_308))) _let_25)))) (let ((_let_371 (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_67 _let_344))))) (let ((_let_372 (= _let_67 (tptp.double_divide _let_371 _let_25)))) (let ((_let_373 (tptp.double_divide tptp.identity _let_314))) (let ((_let_374 (tptp.double_divide _let_25 (tptp.double_divide _let_373 (tptp.double_divide tptp.identity _let_315))))) (let ((_let_375 (= tptp.identity (tptp.double_divide _let_374 _let_25)))) (let ((_let_376 (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_90 _let_308))))) (let ((_let_377 (= _let_90 (tptp.double_divide _let_376 _let_25)))) (let ((_let_378 (tptp.double_divide tptp.identity _let_283))) (let ((_let_379 (tptp.double_divide _let_25 (tptp.double_divide _let_346 _let_378)))) (let ((_let_380 (= tptp.identity (tptp.double_divide _let_379 _let_25)))) (let ((_let_381 (tptp.double_divide tptp.identity _let_194))) (let ((_let_382 (tptp.double_divide _let_25 (tptp.double_divide _let_381 (tptp.double_divide _let_93 _let_195))))) (let ((_let_383 (= _let_93 (tptp.double_divide _let_382 _let_25)))) (let ((_let_384 (= _let_98 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_98 _let_308))) _let_25)))) (let ((_let_385 (tptp.double_divide _let_25 (tptp.double_divide _let_381 (tptp.double_divide tptp.identity _let_195))))) (let ((_let_386 (= tptp.identity (tptp.double_divide _let_385 _let_25)))) (let ((_let_387 (tptp.double_divide _let_25 (tptp.double_divide (tptp.double_divide tptp.identity _let_167) (tptp.double_divide _let_25 _let_168))))) (let ((_let_388 (= _let_25 (tptp.double_divide _let_387 _let_25)))) (let ((_let_389 (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_101 _let_308))))) (let ((_let_390 (= _let_101 (tptp.double_divide _let_389 _let_25)))) (let ((_let_391 (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_108 _let_308))))) (let ((_let_392 (= _let_108 (tptp.double_divide _let_391 _let_25)))) (let ((_let_393 (tptp.double_divide _let_66 (tptp.double_divide _let_166 (tptp.double_divide _let_35 _let_164))))) (let ((_let_394 (tptp.double_divide _let_25 (tptp.double_divide (tptp.double_divide tptp.identity _let_393) (tptp.double_divide _let_197 (tptp.double_divide _let_393 _let_25)))))) (let ((_let_395 (= _let_197 (tptp.double_divide _let_394 _let_25)))) (let ((_let_396 (tptp.double_divide _let_66 (tptp.double_divide _let_166 (tptp.double_divide _let_36 _let_164))))) (let ((_let_397 (tptp.double_divide _let_25 (tptp.double_divide (tptp.double_divide tptp.identity _let_396) (tptp.double_divide _let_111 (tptp.double_divide _let_396 _let_25)))))) (let ((_let_398 (= _let_111 (tptp.double_divide _let_397 _let_25)))) (let ((_let_399 (tptp.double_divide _let_25 (tptp.double_divide _let_373 (tptp.double_divide _let_111 _let_315))))) (let ((_let_400 (= _let_111 (tptp.double_divide _let_399 _let_25)))) (let ((_let_401 (= _let_115 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_115 _let_308))) _let_25)))) (let ((_let_402 (= _let_131 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_131 _let_308))) _let_25)))) (let ((_let_403 (tptp.double_divide tptp.identity _let_191))) (let ((_let_404 (tptp.double_divide _let_25 (tptp.double_divide _let_403 (tptp.double_divide tptp.identity _let_192))))) (let ((_let_405 (= tptp.identity (tptp.double_divide _let_404 _let_25)))) (let ((_let_406 (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_25 _let_344))))) (let ((_let_407 (= _let_25 (tptp.double_divide _let_406 _let_25)))) (let ((_let_408 (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_41 _let_344))))) (let ((_let_409 (= _let_41 (tptp.double_divide _let_408 _let_25)))) (let ((_let_410 (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_47 _let_344))))) (let ((_let_411 (= _let_47 (tptp.double_divide _let_410 _let_25)))) (let ((_let_412 (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_52 _let_344))))) (let ((_let_413 (= _let_52 (tptp.double_divide _let_412 _let_25)))) (let ((_let_414 (= _let_167 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_167 _let_308))) _let_25)))) (let ((_let_415 (tptp.double_divide tptp.identity _let_166))) (let ((_let_416 (tptp.double_divide _let_178 (tptp.double_divide _let_415 _let_179)))) (let ((_let_417 (= _let_66 (tptp.double_divide _let_416 _let_25)))) (let ((_let_418 (= _let_179 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_179 _let_308))) _let_25)))) (let ((_let_419 (= _let_181 (tptp.double_divide (tptp.double_divide _let_12 (tptp.double_divide _let_25 (tptp.double_divide _let_181 _let_27))) _let_25)))) (let ((_let_420 (= _let_182 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_182 _let_308))) _let_25)))) (let ((_let_421 (= _let_188 (tptp.double_divide (tptp.double_divide _let_9 (tptp.double_divide _let_25 (tptp.double_divide _let_188 _let_56))) _let_25)))) (let ((_let_422 (tptp.double_divide tptp.identity _let_188))) (let ((_let_423 (tptp.double_divide _let_187 (tptp.double_divide _let_422 _let_189)))) (let ((_let_424 (= _let_25 (tptp.double_divide _let_423 _let_25)))) (let ((_let_425 (= _let_189 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_189 _let_308))) _let_25)))) (let ((_let_426 (= _let_191 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_191 _let_308))) _let_25)))) (let ((_let_427 (= _let_194 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_194 _let_308))) _let_25)))) (let ((_let_428 (tptp.double_divide _let_25 (tptp.double_divide _let_240 (tptp.double_divide _let_220 _let_102))))) (let ((_let_429 (= _let_220 (tptp.double_divide _let_428 _let_25)))) (let ((_let_430 (tptp.double_divide _let_25 (tptp.double_divide _let_254 (tptp.double_divide _let_220 _let_109))))) (let ((_let_431 (= _let_220 (tptp.double_divide _let_430 _let_25)))) (let ((_let_432 (tptp.double_divide tptp.identity _let_206))) (let ((_let_433 (tptp.double_divide _let_205 (tptp.double_divide _let_432 _let_207)))) (let ((_let_434 (= _let_25 (tptp.double_divide _let_433 _let_25)))) (let ((_let_435 (= _let_207 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_207 _let_308))) _let_25)))) (let ((_let_436 (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_210 _let_308))))) (let ((_let_437 (= _let_210 (tptp.double_divide _let_436 _let_25)))) (let ((_let_438 (= _let_215 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_215 _let_308))) _let_25)))) (let ((_let_439 (= _let_217 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_217 _let_308))) _let_25)))) (let ((_let_440 (tptp.double_divide tptp.identity _let_223))) (let ((_let_441 (tptp.double_divide _let_25 (tptp.double_divide _let_440 (tptp.double_divide _let_220 _let_224))))) (let ((_let_442 (= _let_220 (tptp.double_divide _let_441 _let_25)))) (let ((_let_443 (= _let_221 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_221 _let_308))) _let_25)))) (let ((_let_444 (= _let_223 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_223 _let_308))) _let_25)))) (let ((_let_445 (tptp.double_divide _let_27 (tptp.double_divide _let_229 _let_226)))) (let ((_let_446 (= _let_25 (tptp.double_divide _let_445 _let_25)))) (let ((_let_447 (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_227 _let_308))))) (let ((_let_448 (= _let_227 (tptp.double_divide _let_447 _let_25)))) (let ((_let_449 (tptp.double_divide tptp.a (tptp.double_divide _let_25 _let_229)))) (let ((_let_450 (= tptp.identity (tptp.double_divide _let_449 _let_25)))) (let ((_let_451 (tptp.double_divide _let_25 (tptp.double_divide _let_440 (tptp.double_divide _let_229 _let_224))))) (let ((_let_452 (tptp.double_divide _let_451 _let_25))) (let ((_let_453 (= _let_229 _let_452))) (let ((_let_454 (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_230 _let_308))))) (let ((_let_455 (= _let_230 (tptp.double_divide _let_454 _let_25)))) (let ((_let_456 (= _let_235 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_235 _let_308))) _let_25)))) (let ((_let_457 (tptp.double_divide _let_111 (tptp.double_divide _let_248 _let_238)))) (let ((_let_458 (= _let_12 (tptp.double_divide _let_457 _let_25)))) (let ((_let_459 (= _let_238 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_238 _let_308))) _let_25)))) (let ((_let_460 (= _let_241 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_241 _let_308))) _let_25)))) (let ((_let_461 (tptp.double_divide _let_244 (tptp.double_divide _let_281 _let_246)))) (let ((_let_462 (tptp.double_divide _let_461 _let_25))) (let ((_let_463 (= tptp.a _let_462))) (let ((_let_464 (= _let_246 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_246 _let_308))) _let_25)))) (let ((_let_465 (= tptp.identity (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide tptp.identity _let_308))) _let_25)))) (let ((_let_466 (tptp.double_divide _let_101 (tptp.double_divide _let_25 (tptp.double_divide _let_29 _let_240))))) (let ((_let_467 (= _let_29 (tptp.double_divide _let_466 _let_25)))) (let ((_let_468 (= _let_249 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_249 _let_308))) _let_25)))) (let ((_let_469 (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_251 _let_308))))) (let ((_let_470 (= _let_251 (tptp.double_divide _let_469 _let_25)))) (let ((_let_471 (= _let_255 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_255 _let_308))) _let_25)))) (let ((_let_472 (tptp.double_divide _let_32 (tptp.double_divide _let_248 (tptp.double_divide _let_93 _let_107))))) (let ((_let_473 (= _let_93 (tptp.double_divide _let_472 _let_25)))) (let ((_let_474 (tptp.double_divide _let_257 (tptp.double_divide _let_229 _let_258)))) (let ((_let_475 (tptp.double_divide _let_474 _let_25))) (let ((_let_476 (= tptp.b _let_475))) (let ((_let_477 (= _let_258 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_258 _let_308))) _let_25)))) (let ((_let_478 (= _let_32 (tptp.double_divide (tptp.double_divide _let_108 (tptp.double_divide _let_25 (tptp.double_divide _let_32 _let_254))) _let_25)))) (let ((_let_479 (= _let_262 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_262 _let_308))) _let_25)))) (let ((_let_480 (tptp.double_divide _let_26 (tptp.double_divide _let_111 _let_28)))) (let ((_let_481 (tptp.double_divide _let_273 _let_480))) (let ((_let_482 (tptp.double_divide tptp.identity _let_273))) (let ((_let_483 (= _let_36 (tptp.double_divide (tptp.double_divide _let_480 (tptp.double_divide _let_482 (tptp.double_divide _let_36 _let_481))) _let_25)))) (let ((_let_484 (tptp.double_divide tptp.identity (tptp.double_divide _let_25 _let_37)))) (let ((_let_485 (tptp.double_divide tptp.identity _let_248))) (let ((_let_486 (= _let_37 (tptp.double_divide (tptp.double_divide _let_484 (tptp.double_divide _let_485 (tptp.double_divide _let_37 (tptp.double_divide _let_248 _let_484)))) _let_25)))) (let ((_let_487 (tptp.double_divide _let_480 (tptp.double_divide _let_482 (tptp.double_divide _let_41 _let_481))))) (let ((_let_488 (= _let_41 (tptp.double_divide _let_487 _let_25)))) (let ((_let_489 (= _let_42 (tptp.double_divide (tptp.double_divide _let_115 (tptp.double_divide _let_485 (tptp.double_divide _let_42 (tptp.double_divide _let_248 _let_115)))) _let_25)))) (let ((_let_490 (tptp.double_divide tptp.identity _let_267))) (let ((_let_491 (tptp.double_divide _let_266 (tptp.double_divide _let_490 _let_268)))) (let ((_let_492 (= _let_25 (tptp.double_divide _let_491 _let_25)))) (let ((_let_493 (= _let_268 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_268 _let_308))) _let_25)))) (let ((_let_494 (tptp.double_divide tptp.identity _let_119))) (let ((_let_495 (= _let_494 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide (tptp.double_divide tptp.identity _let_235) (tptp.double_divide _let_494 _let_236))) _let_25)))) (let ((_let_496 (= _let_47 (tptp.double_divide (tptp.double_divide _let_480 (tptp.double_divide _let_482 (tptp.double_divide _let_47 _let_481))) _let_25)))) (let ((_let_497 (tptp.double_divide _let_48 (tptp.double_divide _let_248 (tptp.double_divide _let_267 _let_123))))) (let ((_let_498 (= _let_267 (tptp.double_divide _let_497 _let_25)))) (let ((_let_499 (tptp.double_divide _let_203 (tptp.double_divide _let_490 _let_276)))) (let ((_let_500 (= _let_25 (tptp.double_divide _let_499 _let_25)))) (let ((_let_501 (= _let_276 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_276 _let_308))) _let_25)))) (let ((_let_502 (tptp.double_divide _let_124 (tptp.double_divide _let_485 (tptp.double_divide _let_48 (tptp.double_divide _let_248 _let_124)))))) (let ((_let_503 (= _let_48 (tptp.double_divide _let_502 _let_25)))) (let ((_let_504 (tptp.double_divide _let_27 _let_67))) (let ((_let_505 (tptp.double_divide _let_504 (tptp.double_divide _let_415 (tptp.double_divide _let_111 (tptp.double_divide _let_166 _let_504)))))) (let ((_let_506 (= _let_111 (tptp.double_divide _let_505 _let_25)))) (let ((_let_507 (= _let_52 (tptp.double_divide (tptp.double_divide _let_480 (tptp.double_divide _let_482 (tptp.double_divide _let_52 _let_481))) _let_25)))) (let ((_let_508 (tptp.double_divide tptp.identity _let_76))) (let ((_let_509 (= _let_508 (tptp.double_divide (tptp.double_divide _let_53 (tptp.double_divide _let_248 (tptp.double_divide _let_508 _let_126))) _let_25)))) (let ((_let_510 (tptp.double_divide _let_127 (tptp.double_divide _let_485 (tptp.double_divide _let_53 (tptp.double_divide _let_248 _let_127)))))) (let ((_let_511 (= _let_53 (tptp.double_divide _let_510 _let_25)))) (let ((_let_512 (tptp.double_divide tptp.b (tptp.double_divide _let_25 _let_281)))) (let ((_let_513 (= tptp.identity (tptp.double_divide _let_512 _let_25)))) (let ((_let_514 (= _let_281 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_440 (tptp.double_divide _let_281 _let_224))) _let_25)))) (let ((_let_515 (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_282 _let_308))))) (let ((_let_516 (= _let_282 (tptp.double_divide _let_515 _let_25)))) (let ((_let_517 (tptp.double_divide tptp.identity _let_19))) (let ((_let_518 (tptp.double_divide _let_130 (tptp.double_divide _let_517 (tptp.double_divide _let_220 _let_131))))) (let ((_let_519 (= _let_220 (tptp.double_divide _let_518 _let_25)))) (let ((_let_520 (= _let_286 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_286 _let_308))) _let_25)))) (let ((_let_521 (tptp.double_divide _let_56 (tptp.double_divide _let_25 _let_288)))) (let ((_let_522 (= _let_25 (tptp.double_divide _let_521 _let_25)))) (let ((_let_523 (tptp.double_divide _let_134 (tptp.double_divide _let_248 _let_289)))) (let ((_let_524 (= _let_9 (tptp.double_divide _let_523 _let_25)))) (let ((_let_525 (= _let_289 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_289 _let_308))) _let_25)))) (let ((_let_526 (= _let_240 (tptp.double_divide (tptp.double_divide _let_58 (tptp.double_divide _let_293 (tptp.double_divide _let_240 _let_135))) _let_25)))) (let ((_let_527 (tptp.double_divide tptp.identity _let_293))) (let ((_let_528 (tptp.double_divide _let_136 (tptp.double_divide _let_527 _let_294)))) (let ((_let_529 (= _let_58 (tptp.double_divide _let_528 _let_25)))) (let ((_let_530 (= _let_294 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_294 _let_308))) _let_25)))) (let ((_let_531 (tptp.double_divide _let_27 _let_69))) (let ((_let_532 (tptp.double_divide _let_19 (tptp.double_divide _let_71 _let_531)))) (let ((_let_533 (= _let_531 (tptp.double_divide (tptp.double_divide _let_532 (tptp.double_divide (tptp.double_divide tptp.identity _let_220) (tptp.double_divide _let_531 (tptp.double_divide _let_220 _let_532)))) _let_25)))) (let ((_let_534 (tptp.double_divide _let_61 (tptp.double_divide _let_111 _let_31)))) (let ((_let_535 (= _let_31 (tptp.double_divide (tptp.double_divide _let_534 (tptp.double_divide _let_482 (tptp.double_divide _let_31 (tptp.double_divide _let_273 _let_534)))) _let_25)))) (let ((_let_536 (= _let_299 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_299 _let_308))) _let_25)))) (let ((_let_537 (= _let_220 (tptp.double_divide (tptp.double_divide _let_147 (tptp.double_divide _let_517 (tptp.double_divide _let_220 _let_148))) _let_25)))) (let ((_let_538 (= _let_304 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_304 _let_308))) _let_25)))) (let ((_let_539 (tptp.double_divide tptp.identity _let_197))) (let ((_let_540 (= _let_539 (tptp.double_divide (tptp.double_divide _let_35 (tptp.double_divide _let_214 (tptp.double_divide _let_539 _let_36))) _let_25)))) (let ((_let_541 (= _let_307 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_307 _let_308))) _let_25)))) (let ((_let_542 (= _let_314 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_314 _let_308))) _let_25)))) (let ((_let_543 (= _let_319 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_319 _let_308))) _let_25)))) (let ((_let_544 (tptp.double_divide _let_321 (tptp.double_divide _let_432 _let_322)))) (let ((_let_545 (tptp.double_divide _let_544 _let_25))) (let ((_let_546 (= _let_25 _let_545))) (let ((_let_547 (= _let_322 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_365 (tptp.double_divide _let_322 _let_308))) _let_25)))) (let ((_let_548 (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_93 _let_344))))) (let ((_let_549 (tptp.double_divide _let_548 _let_25))) (let ((_let_550 (= _let_93 _let_549))) (let ((_let_551 (= _let_245 (tptp.double_divide (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_245 _let_344))) _let_25)))) (let ((_let_552 (tptp.double_divide (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_71 _let_344))) _let_25))) (let ((_let_553 (= _let_71 _let_552))) (let ((_let_554 (tptp.double_divide (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_119 _let_344))) _let_25))) (let ((_let_555 (= _let_119 _let_554))) (let ((_let_556 (= _let_134 (tptp.double_divide (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_134 _let_344))) _let_25)))) (let ((_let_557 (= _let_115 (tptp.double_divide (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_115 _let_344))) _let_25)))) (let ((_let_558 (= _let_124 (tptp.double_divide (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_124 _let_344))) _let_25)))) (let ((_let_559 (= _let_127 (tptp.double_divide (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_127 _let_344))) _let_25)))) (let ((_let_560 (= _let_101 (tptp.double_divide (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_101 _let_344))) _let_25)))) (let ((_let_561 (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_108 _let_344))))) (let ((_let_562 (= _let_108 (tptp.double_divide _let_561 _let_25)))) (let ((_let_563 (= _let_144 (tptp.double_divide (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_144 _let_344))) _let_25)))) (let ((_let_564 (= _let_148 (tptp.double_divide (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_148 _let_344))) _let_25)))) (let ((_let_565 (= _let_330 (tptp.double_divide (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_330 _let_344))) _let_25)))) (let ((_let_566 (tptp.double_divide _let_47 tptp.identity))) (let ((_let_567 (= _let_566 (tptp.double_divide (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_566 _let_344))) _let_25)))) (let ((_let_568 (tptp.double_divide _let_52 tptp.identity))) (let ((_let_569 (= _let_568 (tptp.double_divide (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_568 _let_344))) _let_25)))) (let ((_let_570 (= _let_338 (tptp.double_divide (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_338 _let_344))) _let_25)))) (let ((_let_571 (= _let_152 (tptp.double_divide (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_152 _let_344))) _let_25)))) (let ((_let_572 (tptp.double_divide _let_66 (tptp.double_divide _let_166 (tptp.double_divide _let_160 _let_164))))) (let ((_let_573 (= _let_118 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide (tptp.double_divide tptp.identity _let_572) (tptp.double_divide _let_118 (tptp.double_divide _let_572 _let_25)))) _let_25)))) (let ((_let_574 (tptp.double_divide _let_66 (tptp.double_divide _let_166 (tptp.double_divide _let_301 _let_164))))) (let ((_let_575 (= _let_67 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide (tptp.double_divide tptp.identity _let_574) (tptp.double_divide _let_67 (tptp.double_divide _let_574 _let_25)))) _let_25)))) (let ((_let_576 (tptp.double_divide _let_66 (tptp.double_divide _let_166 (tptp.double_divide _let_62 _let_164))))) (let ((_let_577 (= _let_27 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide (tptp.double_divide tptp.identity _let_576) (tptp.double_divide _let_27 (tptp.double_divide _let_576 _let_25)))) _let_25)))) (let ((_let_578 (tptp.double_divide _let_55 (tptp.double_divide _let_134 (tptp.double_divide _let_56 _let_57))))) (let ((_let_579 (= _let_56 (tptp.double_divide _let_578 _let_25)))) (let ((_let_580 (= (tptp.multiply _let_111 tptp.identity) (tptp.double_divide _let_273 tptp.identity)))) (let ((_let_581 (= (tptp.multiply _let_86 tptp.identity) (tptp.double_divide _let_181 tptp.identity)))) (let ((_let_582 (= (tptp.multiply _let_234 tptp.identity) (tptp.double_divide _let_235 tptp.identity)))) (let ((_let_583 (= (tptp.multiply _let_119 tptp.identity) (tptp.double_divide _let_494 tptp.identity)))) (let ((_let_584 (= (tptp.multiply _let_166 tptp.identity) (tptp.double_divide _let_415 tptp.identity)))) (let ((_let_585 (= (tptp.multiply _let_285 tptp.identity) (tptp.double_divide _let_286 tptp.identity)))) (let ((_let_586 (= (tptp.multiply _let_298 tptp.identity) (tptp.double_divide _let_299 tptp.identity)))) (let ((_let_587 (tptp.double_divide _let_25 _let_128))) (let ((_let_588 (= (tptp.multiply _let_128 _let_25) (tptp.double_divide _let_587 tptp.identity)))) (let ((_let_589 (tptp.double_divide _let_93 tptp.identity))) (let ((_let_590 (tptp.double_divide _let_589 tptp.identity))) (let ((_let_591 (= (tptp.multiply tptp.identity _let_93) _let_590))) (let ((_let_592 (= (tptp.multiply _let_25 _let_210) (tptp.double_divide _let_211 tptp.identity)))) (let ((_let_593 (= (tptp.multiply _let_25 _let_241) (tptp.double_divide _let_242 tptp.identity)))) (let ((_let_594 (= (tptp.double_divide _let_111 tptp.identity) (tptp.inverse _let_111)))) (let ((_let_595 (= (tptp.double_divide _let_134 tptp.identity) (tptp.inverse _let_134)))) (let ((_let_596 (= (tptp.double_divide _let_101 tptp.identity) (tptp.inverse _let_101)))) (let ((_let_597 (= (tptp.double_divide _let_108 tptp.identity) (tptp.inverse _let_108)))) (let ((_let_598 (= (tptp.double_divide _let_115 tptp.identity) (tptp.inverse _let_115)))) (let ((_let_599 (= _let_326 (tptp.inverse _let_124)))) (let ((_let_600 (= _let_328 (tptp.inverse _let_127)))) (let ((_let_601 (= (tptp.double_divide _let_152 tptp.identity) (tptp.inverse _let_152)))) (let ((_let_602 (= tptp.identity (tptp.double_divide _let_41 _let_335)))) (let ((_let_603 (= tptp.identity (tptp.double_divide _let_25 _let_337)))) (let ((_let_604 (tptp.double_divide _let_151 _let_341))) (let ((_let_605 (= tptp.identity _let_604))) (let ((_let_606 (tptp.double_divide tptp.identity _let_151))) (let ((_let_607 (= _let_44 (tptp.double_divide (tptp.double_divide _let_341 (tptp.double_divide _let_606 (tptp.double_divide _let_44 _let_604))) _let_25)))) (let ((_let_608 (= _let_20 (tptp.double_divide (tptp.double_divide _let_341 (tptp.double_divide _let_606 (tptp.double_divide _let_20 _let_604))) _let_25)))) (let ((_let_609 (tptp.double_divide tptp.identity _let_544))) (let ((_let_610 (= _let_28 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_28 _let_545))) _let_25)))) (let ((_let_611 (= _let_31 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_31 _let_545))) _let_25)))) (let ((_let_612 (= _let_36 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_36 _let_545))) _let_25)))) (let ((_let_613 (= _let_41 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_41 _let_545))) _let_25)))) (let ((_let_614 (= _let_47 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_47 _let_545))) _let_25)))) (let ((_let_615 (= _let_52 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_52 _let_545))) _let_25)))) (let ((_let_616 (= _let_90 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_90 _let_545))) _let_25)))) (let ((_let_617 (= _let_101 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_101 _let_545))) _let_25)))) (let ((_let_618 (= _let_108 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_108 _let_545))) _let_25)))) (let ((_let_619 (= _let_115 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_115 _let_545))) _let_25)))) (let ((_let_620 (= _let_124 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_124 _let_545))) _let_25)))) (let ((_let_621 (= _let_127 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_127 _let_545))) _let_25)))) (let ((_let_622 (= _let_148 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_148 _let_545))) _let_25)))) (let ((_let_623 (= _let_210 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_210 _let_545))) _let_25)))) (let ((_let_624 (tptp.double_divide _let_162 (tptp.double_divide _let_134 (tptp.double_divide _let_94 _let_344))))) (let ((_let_625 (tptp.double_divide _let_25 (tptp.double_divide (tptp.double_divide tptp.identity _let_624) (tptp.double_divide _let_25 (tptp.double_divide _let_624 _let_25)))))) (let ((_let_626 (= _let_25 (tptp.double_divide _let_625 _let_25)))) (let ((_let_627 (= _let_227 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_227 _let_545))) _let_25)))) (let ((_let_628 (tptp.double_divide tptp.identity _let_548))) (let ((_let_629 (tptp.double_divide _let_25 (tptp.double_divide _let_628 (tptp.double_divide tptp.identity _let_549))))) (let ((_let_630 (= tptp.identity (tptp.double_divide _let_629 _let_25)))) (let ((_let_631 (tptp.double_divide _let_341 (tptp.double_divide _let_606 (tptp.double_divide _let_229 _let_604))))) (let ((_let_632 (= _let_229 (tptp.double_divide _let_631 _let_25)))) (let ((_let_633 (= _let_230 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_230 _let_545))) _let_25)))) (let ((_let_634 (= _let_241 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_241 _let_545))) _let_25)))) (let ((_let_635 (= _let_251 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_251 _let_545))) _let_25)))) (let ((_let_636 (= _let_262 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_262 _let_545))) _let_25)))) (let ((_let_637 (= _let_282 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_282 _let_545))) _let_25)))) (let ((_let_638 (tptp.double_divide _let_341 (tptp.double_divide _let_606 (tptp.double_divide _let_93 _let_604))))) (let ((_let_639 (= _let_93 (tptp.double_divide _let_638 _let_25)))) (let ((_let_640 (= _let_144 (tptp.double_divide (tptp.double_divide _let_341 (tptp.double_divide _let_606 (tptp.double_divide _let_144 _let_604))) _let_25)))) (let ((_let_641 (= _let_148 (tptp.double_divide (tptp.double_divide _let_341 (tptp.double_divide _let_606 (tptp.double_divide _let_148 _let_604))) _let_25)))) (let ((_let_642 (= _let_353 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_353 _let_545))) _let_25)))) (let ((_let_643 (= _let_355 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_355 _let_545))) _let_25)))) (let ((_let_644 (= _let_357 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_357 _let_545))) _let_25)))) (let ((_let_645 (= _let_134 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_134 _let_545))) _let_25)))) (let ((_let_646 (= _let_363 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_363 _let_545))) _let_25)))) (let ((_let_647 (= _let_373 (tptp.double_divide (tptp.double_divide _let_41 (tptp.double_divide _let_25 (tptp.double_divide _let_373 _let_85))) _let_25)))) (let ((_let_648 (= _let_374 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_374 _let_545))) _let_25)))) (let ((_let_649 (= _let_376 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_376 _let_545))) _let_25)))) (let ((_let_650 (= _let_346 (tptp.double_divide (tptp.double_divide tptp.a (tptp.double_divide _let_25 (tptp.double_divide _let_346 _let_93))) _let_25)))) (let ((_let_651 (tptp.double_divide _let_378 (tptp.double_divide (tptp.double_divide tptp.identity _let_346) _let_379)))) (let ((_let_652 (= _let_25 (tptp.double_divide _let_651 _let_25)))) (let ((_let_653 (= _let_379 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_379 _let_545))) _let_25)))) (let ((_let_654 (= _let_381 (tptp.double_divide (tptp.double_divide _let_27 (tptp.double_divide _let_25 (tptp.double_divide _let_381 _let_111))) _let_25)))) (let ((_let_655 (= _let_385 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_385 _let_545))) _let_25)))) (let ((_let_656 (= _let_387 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_387 _let_545))) _let_25)))) (let ((_let_657 (= _let_389 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_389 _let_545))) _let_25)))) (let ((_let_658 (= _let_391 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_391 _let_545))) _let_25)))) (let ((_let_659 (= _let_399 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_399 _let_545))) _let_25)))) (let ((_let_660 (= _let_403 (tptp.double_divide (tptp.double_divide _let_56 (tptp.double_divide _let_25 (tptp.double_divide _let_403 _let_134))) _let_25)))) (let ((_let_661 (= _let_404 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_404 _let_545))) _let_25)))) (let ((_let_662 (= _let_406 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_406 _let_545))) _let_25)))) (let ((_let_663 (= _let_408 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_408 _let_545))) _let_25)))) (let ((_let_664 (= _let_410 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_410 _let_545))) _let_25)))) (let ((_let_665 (= _let_412 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_412 _let_545))) _let_25)))) (let ((_let_666 (= _let_416 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_416 _let_545))) _let_25)))) (let ((_let_667 (= _let_187 (tptp.double_divide (tptp.double_divide _let_189 (tptp.double_divide (tptp.double_divide tptp.identity _let_422) _let_423)) _let_25)))) (let ((_let_668 (= _let_423 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_423 _let_545))) _let_25)))) (let ((_let_669 (= _let_428 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_428 _let_545))) _let_25)))) (let ((_let_670 (= _let_430 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_430 _let_545))) _let_25)))) (let ((_let_671 (= _let_433 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_433 _let_545))) _let_25)))) (let ((_let_672 (= _let_441 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_441 _let_545))) _let_25)))) (let ((_let_673 (= _let_445 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_445 _let_545))) _let_25)))) (let ((_let_674 (= _let_447 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_447 _let_545))) _let_25)))) (let ((_let_675 (= _let_449 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_449 _let_545))) _let_25)))) (let ((_let_676 (= _let_111 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_111 _let_545))) _let_25)))) (let ((_let_677 (= _let_457 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_457 _let_545))) _let_25)))) (let ((_let_678 (= _let_461 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_461 _let_545))) _let_25)))) (let ((_let_679 (= _let_466 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_466 _let_545))) _let_25)))) (let ((_let_680 (= _let_472 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_472 _let_545))) _let_25)))) (let ((_let_681 (= _let_474 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_474 _let_545))) _let_25)))) (let ((_let_682 (= _let_487 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_487 _let_545))) _let_25)))) (let ((_let_683 (= _let_266 (tptp.double_divide (tptp.double_divide _let_268 (tptp.double_divide (tptp.double_divide tptp.identity _let_490) _let_491)) _let_25)))) (let ((_let_684 (= _let_491 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_491 _let_545))) _let_25)))) (let ((_let_685 (= _let_497 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_497 _let_545))) _let_25)))) (let ((_let_686 (= _let_499 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide _let_609 (tptp.double_divide _let_499 _let_545))) _let_25)))) (let ((_let_687 (= _let_502 (tptp.double_divide 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((_let_1486 (CONG _let_782 _let_1485 :args _let_739))) (let ((_let_1487 (CONG _let_1052 _let_1484 :args _let_739))) (let ((_let_1488 (ASSUME :args (_let_463)))) (let ((_let_1489 (SYMM _let_1488))) (let ((_let_1490 (ASSUME :args (_let_284)))) (let ((_let_1491 (SYMM _let_1490))) (let ((_let_1492 (REFL :args (_let_282)))) (let ((_let_1493 (CONG _let_1492 _let_743 :args _let_739))) (let ((_let_1494 (CONG (TRANS (CONG _let_1243 (TRANS (CONG _let_751 (TRANS _let_1493 _let_1491 _let_1488) :args _let_739) (CONG _let_1052 (REFL :args (_let_462)) :args _let_739) (CONG _let_782 _let_1489 :args _let_739)) :args _let_739) _let_1487 _let_1486) (TRANS _let_762 _let_1483) :args _let_739))) (let ((_let_1495 (CONG (REFL :args (_let_515)) _let_763 :args _let_739))) (let ((_let_1496 (ASSUME :args (_let_516)))) (let ((_let_1497 (SYMM _let_1496))) (let ((_let_1498 (SYMM _let_1497))) (let ((_let_1499 (CONG _let_911 (TRANS (CONG (TRANS _let_911 _let_1153) (TRANS _let_1498 _let_1495 _let_1494 _let_1482 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((_let_1543 (SYMM _let_1542))) (let ((_let_1544 (SYMM _let_1543))) (let ((_let_1545 (ASSUME :args (_let_694)))) (let ((_let_1546 (CONG (REFL :args (_let_548)) _let_763 :args _let_739))) (let ((_let_1547 (ASSUME :args (_let_228)))) (let ((_let_1548 (REFL :args (_let_227)))) (let ((_let_1549 (CONG _let_1548 _let_743 :args _let_739))) (let ((_let_1550 (CONG _let_1548 _let_1315 :args _let_739))) (let ((_let_1551 (CONG _let_767 (TRANS _let_1550 _let_1549 (SYMM _let_1547) _let_1484 _let_1546) :args _let_739))) (let ((_let_1552 (CONG _let_746 _let_1551 :args _let_739))) (let ((_let_1553 (SYMM _let_1550))) (let ((_let_1554 (SYMM _let_1549))) (let ((_let_1555 (ASSUME :args (_let_383)))) (let ((_let_1556 (CONG _let_767 (TRANS (CONG (REFL :args (_let_382)) _let_762 :args _let_739) (SYMM _let_1555) _let_1547 _let_1554 _let_1553) :args _let_739))) (let ((_let_1557 (CONG _let_746 _let_1556 :args _let_739))) (let ((_let_1558 (SYMM _let_1557))) (let ((_let_1559 (ASSUME :args (_let_473)))) (let 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(let ((_let_1610 (SYMM _let_1566))) (let ((_let_1611 (CONG _let_911 (TRANS _let_1610 (SYMM _let_1609)) :args _let_739))) (let ((_let_1612 (ASSUME :args (_let_674)))) (let ((_let_1613 (CONG _let_746 (CONG _let_751 (TRANS _let_1547 _let_1554) :args _let_739) :args _let_739))) (let ((_let_1614 (CONG _let_746 (TRANS _let_1540 (SYMM _let_1487)) :args _let_739))) (let ((_let_1615 (CONG _let_746 (TRANS _let_1556 _let_1551 (CONG (TRANS _let_1608 _let_1243) (TRANS (SYMM _let_1546) _let_1485) :args _let_739) _let_1487 _let_1486) :args _let_739))) (let ((_let_1616 (TRANS (CONG _let_911 _let_1436 :args _let_739) _let_1614 _let_1613))) (let ((_let_1617 (SYMM _let_981))) (let ((_let_1618 (ASSUME :args (_let_696)))) (let ((_let_1619 (CONG (REFL :args (_let_695)) _let_1524 :args _let_739))) (let ((_let_1620 (TRANS _let_743 _let_740 _let_747 _let_1445 _let_855 _let_834))) (let ((_let_1621 (TRANS _let_1365 _let_1439 (SYMM _let_1440) (SYMM _let_1417) (SYMM _let_1418) (SYMM _let_1420) _let_1259))) (let 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_let_602) (not _let_603) (not _let_605) (not _let_607) (not _let_608) (not _let_610) (not _let_611) (not _let_612) (not _let_613) (not _let_614) (not _let_615) (not _let_616) (not _let_617) (not _let_618) (not _let_619) (not _let_620) (not _let_621) (not _let_622) (not _let_623) (not _let_626) (not _let_627) (not _let_630) (not _let_632) (not _let_633) (not _let_634) (not _let_635) (not _let_636) (not _let_637) (not _let_639) (not _let_640) (not _let_641) (not _let_642) (not _let_643) (not _let_644) (not _let_645) (not _let_646) (not _let_647) (not _let_648) (not _let_649) (not _let_650) (not _let_652) (not _let_653) (not _let_654) (not _let_655) (not _let_656) (not _let_657) (not _let_658) (not _let_659) (not _let_660) (not _let_661) (not _let_662) (not _let_663) (not _let_664) (not _let_665) (not _let_666) (not _let_667) (not _let_668) (not _let_669) (not _let_670) (not _let_671) (not _let_672) (not _let_673) (not _let_674) (not _let_675) (not _let_676) (not _let_677) (not _let_678) (not _let_679) (not _let_680) (not _let_681) (not _let_682) (not _let_683) (not _let_684) (not _let_685) (not _let_686) (not _let_687) (not _let_688) (not _let_689) (not _let_690) (not _let_691) (not _let_692) (not _let_693) (not _let_694) (not _let_696) (not _let_699) (not _let_701) (not _let_702) (not _let_703) (not _let_704) (not _let_707) (not _let_709) (not _let_710) (not _let_712) (not _let_713) (not _let_714) (not _let_715) (not _let_716) (not _let_717) (not _let_718) (not _let_719) (not _let_720)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_705 _let_280 _let_651 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_720 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_93 tptp.identity _let_378 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_719 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_705 _let_280 _let_638 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_718 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_705 _let_280 _let_631 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_717 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_25 _let_697 _let_341 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_716 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_705 _let_280 _let_629 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_715 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_93 tptp.identity _let_628 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_714 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_705 _let_280 _let_451 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_713 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_25 _let_697 _let_56 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_712 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_705 _let_280 _let_227 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_710 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_705 _let_280 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_709 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_728 :args (_let_280 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_729)) :args _let_727)) _let_728 :args (_let_707 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_722 :args (_let_25 _let_451 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_734)) :args _let_721)) _let_722 :args (_let_704 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_722 :args (tptp.identity _let_589 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_734)) :args _let_721)) _let_722 :args (_let_703 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_722 :args (tptp.identity _let_283 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_734)) :args _let_721)) _let_722 :args (_let_702 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_341 _let_151 _let_589 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_701 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_341 _let_151 _let_230 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_699 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_341 _let_151 _let_227 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_696 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_25 _let_544 _let_548 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_694 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_25 _let_544 _let_523 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_693 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_25 _let_544 _let_521 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_692 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_25 _let_544 _let_518 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_691 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_25 _let_544 _let_512 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_690 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_25 _let_544 _let_510 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_689 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_25 _let_544 _let_505 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_688 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_25 _let_544 _let_502 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_687 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_25 _let_544 _let_499 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_686 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_25 _let_544 _let_497 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_685 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_25 _let_544 _let_491 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_684 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_268 _let_490 _let_266 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_683 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_25 _let_544 _let_487 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_682 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_25 _let_544 _let_474 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_681 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_25 _let_544 _let_472 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_680 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_25 _let_544 _let_466 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_679 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_25 _let_544 _let_461 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_678 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_25 _let_544 _let_457 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_677 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_25 _let_544 _let_111 QUANTIFIERS_INST_E_MATCHING _let_733)) :args _let_732)) _let_731 :args (_let_676 false _let_730)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_731 :args (_let_25 _let_544 _let_449 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% 1.62/1.80  )
% 1.62/1.82  % SZS output end Proof for GRP584-1
% 1.62/1.82  % cvc5---1.0.5 exiting
% 1.62/1.82  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------